\(\dfrac{2x+\sqrt{x}}{x-\sqrt{x}}-\dfrac{\sqrt{x}}{\sqrt{x}-1}\) (ĐKXĐ: \(x\ge0;x\ne1\))
\(=\dfrac{2x+\sqrt{x}-x}{\sqrt{x}\left(\sqrt{x}-1\right)}\)
\(=\dfrac{x+\sqrt{x}}{\sqrt{x}\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)
đk : x > 0 ; x khác 1
\(=\dfrac{2\sqrt{x}+1-\sqrt{x}}{\sqrt{x}-1}=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)